Search a number
-
+
6064123968 = 26347223873
BaseRepresentation
bin1011010010111001…
…10011000001000000
3120122121201102020000
411221130303001000
544404403431333
62441423120000
7303163126500
oct55134630100
916577642200
106064123968
112632049101
121212a43000
1375845ab46
14417541a00
152575a2713
hex169733040

6064123968 has 210 divisors, whose sum is σ = 20911690206. Its totient is φ = 1732534272.

The previous prime is 6064123957. The next prime is 6064123973. The reversal of 6064123968 is 8693214606.

6064123968 is a `hidden beast` number, since 606 + 4 + 1 + 2 + 39 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4097024064 + 1967099904 = 64008^2 + 44352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 242080 + ... + 265952.

Almost surely, 26064123968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6064123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10455845103).

6064123968 is an abundant number, since it is smaller than the sum of its proper divisors (14847566238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6064123968 is a wasteful number, since it uses less digits than its factorization.

6064123968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23911 (or 23885 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6064123968 is about 77872.4853077131. The cubic root of 6064123968 is about 1823.5710556441.

The spelling of 6064123968 in words is "six billion, sixty-four million, one hundred twenty-three thousand, nine hundred sixty-eight".